Algebra Examples

$\sqrt{5} \cdot \sqrt[2]{4} \cdot \sqrt{9}$

Step 1

Rewrite $4$ as $2^{2}$ .

$\sqrt{5} \cdot \sqrt{2^{2}} \cdot \sqrt{9}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt{5} \cdot 2 \cdot \sqrt{9}$

Step 3

Move $2$ to the left of $\sqrt{5}$ .

$2 \cdot \sqrt{5} \cdot \sqrt{9}$

Step 4

Rewrite $9$ as $3^{2}$ .

$2 \sqrt{5} \cdot \sqrt{3^{2}}$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$2 \sqrt{5} \cdot 3$

Step 6

Multiply $3$ by $2$ .

$6 \sqrt{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{5}$

Decimal Form:

$13.41640786 \dots$